Slope Intercept Form

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is given by y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you identify the slope in the equation y = 4x + 3?

Back

In the equation y = 4x + 3, the slope (m) is 4.

Front

What does the y-intercept represent in the equation y = mx + b?

Back

The y-intercept (b) represents the point where the line crosses the y-axis.

Front

If a line has a slope of 2/3, how does it rise and run?

Back

A slope of 2/3 means that for every 3 units the line runs to the right, it rises 2 units.

Front

How can you convert the equation y = -3x - 3 into slope-intercept form?

Back

The equation y = -3x - 3 is already in slope-intercept form, where the slope is -3 and the y-intercept is -3.

Front

What is the significance of a negative slope in a linear equation?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward slant of the line.

Front

How do you determine the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does it mean if two lines are parallel in terms of their slopes?

Back

Two lines are parallel if they have the same slope but different y-intercepts.

Front

How do you find the y-intercept from the equation y = 2/3x - 3?

Back

The y-intercept is the value of y when x = 0. In this case, when x = 0, y = -3.

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.